Anthony J. Roberts
Orcid: 0000-0001-8930-1552Affiliations:
- University of Adelaide, Australia
- University of Southern Queensland, Toowoomba, QLD, Australia (former)
According to our database1,
Anthony J. Roberts
authored at least 29 papers
between 1995 and 2023.
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Bibliography
2023
Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme.
CoRR, 2023
Accurate and efficient multiscale simulation of a heterogeneous elastic beam via computation on small sparse patches.
CoRR, 2023
2022
Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation.
SIAM J. Sci. Comput., August, 2022
Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves.
CoRR, 2022
2021
Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling.
Numerische Mathematik, 2021
A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation.
Numer. Algorithms, 2021
2020
Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations.
CoRR, 2020
A multiscale scheme accurately simulates macroscale shocks in an equation-free framework.
CoRR, 2020
Rigorous modelling of nonlocal interactions determines a macroscale advection-diffusion PDE.
CoRR, 2020
2019
Large-scale simulation of shallow water waves with computation only on small staggered patches.
CoRR, 2019
2017
Good coupling for the multiscale patch scheme on systems with microscale heterogeneity.
J. Comput. Phys., 2017
Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations.
Appl. Math. Comput., 2017
2016
Accuracy of Patch Dynamics with Mesoscale Temporal Coupling for Efficient Massively Parallel Simulations.
SIAM J. Sci. Comput., 2016
Appl. Math. Lett., 2016
2015
Numerical integration of ordinary differential equations with rapidly oscillatory factors.
J. Comput. Appl. Math., 2015
Mathematical modeling and computation 20, SIAM, ISBN: 978-1-611-97355-6, 2015
2013
SIAM J. Appl. Dyn. Syst., 2013
SIAM J. Appl. Dyn. Syst., 2013
2009
Multiscale Model. Simul., 2009
2007
SIAM J. Sci. Comput., 2007
2006
SIAM J. Appl. Dyn. Syst., 2006
Resolving the Multitude of Microscale Interactions Accurately Models Stochastic Partial Differential Equations.
LMS J. Comput. Math., 2006
2004
Shear Dispersion along Circular Pipes Is Affected by Bends, but the Torsion of the Pipe Is Negligible.
SIAM J. Appl. Dyn. Syst., 2004
Image Processing of Finite Size Rat Retinal Ganglion Cells Using Multifractal and Local Connected Fractal Analysis.
Proceedings of the AI 2004: Advances in Artificial Intelligence, 2004
2003
Math. Comput., 2003
2002
Computational Models for Materials with Shape Memory: Towards a Systematic Description of Coupled Phenomena.
Proceedings of the Computational Science - ICCS 2002, 2002
1995
SIAM J. Appl. Math., 1995